Scatter Plots & Data Analysis Online Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.

An illustration of a scatterplot shows x on x-axis from 1 to 5 in increments of 0.5 and y on the y-axis from 9 to 14 in increments of 0.5. Ten points are plotted. The approximate plotted points are as follows: left parenthesis 1 comma 10 right parenthesis, left parenthesis 1 comma 14 right parenthesis, left parenthesis 2 comma 11 right parenthesis, left parenthesis 2 comma 13 right parenthesis, left parenthesis 3 comma 9 right parenthesis, left parenthesis 3 comma 12 right parenthesis, left parenthesis 4 comma 11 right parenthesis, left parenthesis 4 comma 14 right parenthesis, left parenthesis 4.5 comma 12 right parenthesis, and left parenthesis 5 comma 9 right parenthesis.

Is there a relationship between the two sets of data? How do you know?

(1 point)
Responses

No, you can draw a trend line.
No, you can draw a trend line.

Yes, you cannot draw a trend line.
Yes, you cannot draw a trend line.

Yes, you can draw a trend line.
Yes, you can draw a trend line.

No, you cannot draw a trend line.

Answer 1

To determine if there is a relationship between the two sets of data represented in the scatterplot, we can analyze the distribution of the points:

1. No Relationship: If the points are scattered randomly without any discernible pattern, it suggests no relation.
2. Linear Relationship: If the points can be approximated by a straight line (either positive slope, negative slope, or flat), it indicates a linear relationship.
3. Non-Linear Relationship: If the points form a curve or another continuous pattern but not a straight line, it indicates a non-linear relationship.

From the description given, while there are several points plotted in pairs that suggest some correlation (like higher x-values having some y-values that vary together), the presence of scattered points (like (3,9) or (5,9) compared to the higher y-values) implies that these points do not fit neatly to a straight line.

Considering the response options, the most appropriate conclusion is:

No, you cannot draw a trend line.

This indicates that there isn't a clear linear relationship among the data points plotted on the scatterplot.